| 阳志锋,邱德华.一类具强阻尼Kirchhoff方程的能量衰减和解的爆破[J].数学研究及应用,2009,29(4):707~715 |
| 一类具强阻尼Kirchhoff方程的能量衰减和解的爆破 |
| Energy Decaying and Blow-Up of Solution for a Kirchhoff Equation with Strong Damping |
| 投稿时间：2007-07-19 修订日期：2009-01-05 |
| DOI：10.3770/j.issn:1000-341X.2009.04.017 |
| 中文关键词: 强阻尼 Kirchhoff方程 解的爆破 能量衰减 生命跨度. |
| 英文关键词:strong damping Kirchhoff equation blow-up energy decaying life span. |
| 基金项目:湖南省自然科学基金(No.05jj40008); 衡阳师范学院青年项目(No.08A27). |
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| 中文摘要: |
| 在有界域上考虑一类具Lipschitz型连续系数的Kirchhoff方程的初边值问题,在某些条件下讨论了能量衰减和解的爆破.用改进的方法获得了能量函数的指数衰减估计以及爆破解的生命跨度估计. |
| 英文摘要: |
| The initial boundary value problem for a Kirchhoff equation with Lipschitz type continuous coefficient is studied on bounded domain. Under some conditions, the energy decaying and blow-up of solution are discussed. By refining method, the exponent decay estimates of the energy function and the estimates of the life span of blow-up solutions are given. |
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